High Resolution Nonoscillatory Central Difference Schemes
for the 2D Euler Equations via Artificial Compression
Knut-Andreas Lie and Sebastian Noelle
We suggest to augment second-order, nonoscillatory, central difference
schemes with Harten's artificial compression method (ACM) to sharpen the
resolution of linear fields. ACM employs a partial characteristic
decomposition to single out the linear fields, for which a steeper
reconstruction is applied. The remarkable power of this technique
is demonstrated for three test problems for the Euler equations from
gas dynamics, and its dangers are pointed out.
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- Publishing information:
- Accepted in the Proceedings of the 11th ECMI Conference
- Revised version, May 2001.
- Submitted by:
December 8 2000.
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